T for Delay
 

Just want to bounce this one off ya's to make sure. Sorry, don't have my book available at the moment.

Team A has already been warned for reaching over the boundary line and then does it again for a T. Two free throws and ball and ball out at the division line for Team B, right? Partner thought it is two free throws and ball where the T happened.

You were correct. In high school rules, ALL single technical fouls result in 2 free throws and possession of the ball for a throw-in at midcourt opposite the table.

It's possible that your partner was thinking that the player had reached across the boundary plane and actually fouled the inbounder (instead of merely crossing the plane). In that situation, the correct call is an intentional personal foul; and the penalty is 2 free throws and possession of the ball for a throw-in at the spot closest to the spot of the foul.

Or simply confused the inbounding provision for intentional fouls with that for technical fouls.